Metrical and Ergodic Theory of Continued Fraction Algorithms
This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades. The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, θ-continued fractions,...
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| Main Authors: | , |
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| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | inglés |
| Publicado: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
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| Edición: | 1st ed. 2025. |
| Series: | Frontiers in Mathematics,
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.1007/978-3-031-86634-0 |
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| Summary: | This monograph presents the work of the authors in metrical theory of continued fractions in the last two decades. The monograph cuts a particular path through this extensive theory and describes the theory in its current form for three families of continued fractions, namely, θ-continued fractions, N-continued fractions, and generalized Rényi continued fractions. The book systematically lays out the required preliminaries, making the book easy to read. This monograph provides a solid introduction into the theory of continued fractions. The book is intended for researchers in metrical theory, as well as advanced graduate students and mathematicians interested in this field. |
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| Descrición Física: | 1 online resource (XII, 140 p. 4 illus.). 3 illus. in color. |
| ISBN: | 9783031866340 |
| ISSN: | 1660-8054 |
| DOI: | 10.1007/978-3-031-86634-0 |